Find the equation of the tangent line to the curve y = In(x³ – 63) at the point (4, 0). Tangent Line Equation:

Q: Find the slope of the tangent line to the curve – 2x? + 4xy + y³ = 8 at the point (4, 2).

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Q: Find the equation of the tangent line at the given point on curve. ex2+ y2 = xe5y - y2e5x/2; (2, 1)

A: Given, ex2+y2=xe5y-y2e5x2:(2,1) To find the equation of tangent line at the given point on the…

Q: Find an equation of the tangent line to the curve at thegiven point.

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Q: Find the slope of the tangent line to the curve 3a? – 4xy – ly3 = - 84 at the point (2, 4).

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Q: Find the equation of the tangent line to the curve y = (2 + x)e¬* at the point (0,2)

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Q: Find the equation of the tangent line to the curve y³+2xy+x³ = 0 at (-1, –1).

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Q: Find the slope of the tangent line to the curve 2x + 2xy + 2y = 32 %3D at the point (-4, 2).

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Q: Find the equation of the line normal to the tangent at the point (1,2) x’y+xy² = 6. on the curve

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Q: The slope of the tangent line to the curve y=-4e 2xcos(-8x) at xw0 is

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Q: Find the equation of the tangent line to the curve y = 1+e¯* at the point (0,2)

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: Find the equation of the tangent line to the curve y = IVa at the point (16, 64). %3D y =

A: The standard form of the tangent line helps to find the required equation of the line. The standard…

Q: Find an equation of the tangent line at a point (0, 0) on the curve x =t- 100, y = t2– 10t.

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Q: Find an equation of the tangent line to the curve y = (4x + 2)e at the point a = 0.

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Q: Find an equation of the tangent line to the curve at the given point    y= xe^-x^2 , (0,0)

A: Given,

Q: Find an equation of the tangent line to the curve at thegiven point.   y= x3- 3x -1 , (2, 3)

A: The given equation of the curve is y= x3- 3x +1. We have to find the tangent line to the curve y=…

Q: Find the equation of the tangent line to the curve y=x^4+2e^x at the point (0,2).

A: Consider the given curve y=x^4+2e^x

Q: Find the slope of the tangent line to the curve 3a2 – 3xy – 4y3 = 56 at the point (2, – 2).

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Q: Find the tangent line at (-1,3) to the curve y* - 2xy – 27 =0

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Q: Find the equation of the tangent line at the given point on the curve. 2y- Vx 28, (16,4) y=D

A: 2y2-x=28,    16, 4. Slope of the tangent line is the derivative of the given function at the given…

Q: a) Find an equation for the tangent line to the curve y= 2/x at the point (2, 1) on this curve.

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Q: Find the slope of the tangent line to the curve −x^2−3xy+3y^3=−7 at the point (−1,−1)

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Q: Find the tangent line to the curve y = 2x - x? at (2,0)

A: We can find the required answer as below

Q: Plot the curve x³ + y3 = 6xy together with the tangent to the curve at the point

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Q: Find an equation of the tangent line to the curve at thegiven point.

A: Given: y=2x+1x+2, 1,1 for finding equation of tangent, we need to find slope of tangent  we know…

Q: Find an equation of the tangent line at x = a, y = x² – - X; a = - 2

A: Equation of tangent line ,  y - y0 = m ( x - x0 )  Here m is the slope of tangent line and  ( x 0 ,…

Q: Find the slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

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Q: Find the equation (in terms of x and y) of the tangent line to the curve r=4sin2θ at θ=π/3. y=?

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Q: Find the equation of the tangent line to the curve at the given point. y = 9x – 8/x, (1, 1) %3D

A: Given,           Equation of the curve is y = 9x -8x  and point = (1,1)

Q: Find the equation of the tangent line to the graph of j f (x) =- -5e2* at the point (0, -5).

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Q: Determine the equation of the tangent line to the curve x- 2xy = 2y² +1 at the point (1:0).

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Q: tangent

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Q: Find a point on the curve y=x2−2x−3 at which the tangent is parallel to the x−axis.

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Q: Find the slope of the tangent line to the curve 3x? – 4xy + y³ = 3 at the point (1, – 2). -

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Q: Find an equation of the tangent line to the curve at thegiven point.   y = √x ( 1, 1)

A: Given curve is y=x. To find equation of tangent line at point 1,1. Differentiating the given curve…

Q: Find the slope of the tangent line to the curve 4x – 4xy + 1y = 23 at the point (- 3, – 1).

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Q: Find an equation of the tangent line to the curve at the given point. y = 2ex + x, (0, 2) y 11

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Q: The equation of the tangent line to the curve x² + y² = 64, at (9,-14) is

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Q: Find an equation of the tangent line to the curve y= e* that is parallel to the line y=1-2x.

A: Two parallel lines have the same slope

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point (, 4). 6

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Q: Find the equation of the tangent line at the given point on the curve. x3 + 2xy – y2 = 11 at (2,3)

A: We need to find the equation of the tangent line at the given point on the curve. We have x3+2xy-y2…

Q: Find the equation of a tangent line to the curve y = x e2x at the point where x=1

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Q: Find an equation of the tangent line to the curve at the given point. y = x° In(x), (1, 0)

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Q: . Find an equation of the tangent line to the curve y = Vx at the point (1, 1).

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Q: Find the equation of the tangent line to the curve y=x-6cos(x) at the point (0,-6)

A: We have to find equation of tangent line to the curve y=x-6cos(x) at the point (0,-6)  Now first we…

Q: Find the equation of the tangent line to the curve y= x4 + 6ex at the point (0,6). Enter exact…

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Q: Find the equation of the line tangent to the curve y=x+cosx at the point (0,1)

A: Given, curve and point

Q: Find the equation to the tangent line to the curve y = Vx³ – 2 where x 3 3

A: Please refer the attached image for complete solution.

Q: Find an equation of the tangent line to the curve y=3ex that is parallel to x-4y=1.

A: Given:Equation of a curve

Q: Find an equation of the tangent line to the curve at the given point. y = v x, (81, 9) y = |0

A: y = xdifferentiate with respect to x,dydx= 12xdydx(81,9)= 1281=118

Q: Find the equation of the tangent line to the curve at the point (5,3) given that x2+xy+2y2=58

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